| 线性高振荡微分方程在两组不同基下的近似解 |
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| 引用本文： | 黄爱丽,韩旭里.线性高振荡微分方程在两组不同基下的近似解[J].数学理论与应用,2008,28(4):49-53. |
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| 作者姓名： | 黄爱丽 韩旭里 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | 分别以Bemstain多项式以及准均匀B样条为基函数，来逼近线性高振荡常微分方程。通过求解基函数对应的系数方程组，得到方程的近似解。通过数值实验表明用准均匀B样条函数的逼近效果要比Bemstain多项式要好。
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| 关 键 词： | Bemstain多项式 准均匀B样条 线性高振荡常微分方程 |
Approximating Solution to Highly-oscillatory Linear Differential Equation |
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| Huan Aili Han Xuli.Approximating Solution to Highly-oscillatory Linear Differential Equation[J].Mathematical Theory and Applications,2008,28(4):49-53. |
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| Authors: | Huan Aili Han Xuli |
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| Institution: | Huan Aili Han Xuli(School of Mathematical Science , Computing Technology,Central South University,Changsha,410083) |
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| Abstract: | This paper deals with approximating solutions to highly-oscillatory linear differential equations in Bernstain polynomial basis and quasi-uniform B-spline separately.We solve the equations of coefficients to get the numerical solution and by numerical experimentation we can see that the solutions in quasi-uniform B-spline basis is better than those in Bernstain polynomial basis. |
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| Keywords: | Bernstain polynomial Quasi-uniform B-Spline Highly-oscillatory linear differential equatiion |
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